Solve this system of linear equations. Separate the x- and y- values with a comma. -13x=97-19y -17x=83+19y

Solve This System Of Linear Equations. Separate The X- And Y- Values With A Comma. -13x=97-19y -17x=83+19y

Answers

Answer 1

Answer:

The solution is (-6, 1).

Step-by-step explanation:

Rewrite this system as

-13x=97-19y

-17x=83+19y

Now combine these two equations.  19y and -19y will cancel each other:

-30x = 180, so x = -6.

Now substitutte -6 for x in the first equation:

-13(-6) = 97 - 19y, or 78 = 97 - 19y.  This simplifies to:

-19 = -19y, so y = 1.

The solution is (-6, 1).


Related Questions

Carl bought 19 apples or 2 different varieties to make pies. The total cost of apples was $51.00. Granny Smith apples cost $3.00 per pound and Gala apples cost $2.50 per pound. How man pounds of Granny apples did Carl buy?

Answers

Answer:

12 Granny Smith and 7 Gala apples (total 19 apples)

Explanation:

Let me put this equation first:

X: number of Granny Smith apples

(19-X): number of Gala apples

cos

t

=

X

0.25

+

(

19

X

)

0.30

5.10

=

0.25

X

+

5.70

0.30

X

5.10

5.70

=

0.05

X

0.60

=

0.05

X

and

X

=

12

Number of Granny Smith apples is 12.

The rest (19-12) is number of Gala apples. Number of Gala apples is 7.

This satisfies your equation.

Number of Granny Smith apples 12 and number of Gala apples is 7.

what is the solution to the system graphed below? (1,1) (1,-1) (-1,1) (-1,-1)​

Answers

Answer:

(-1, -1)

Step-by-step explanation:

The two lines intersect in the third quadrant, at (-1, -1), so that is the solution.

The solution to the system graphed below is (-1,-1) which is option D.

What is a graph?

It is a collection of various points and it is used to draw lines of different functions or equations by finding out two points and by joining them.

How to identify points on the graph?

We have to check solution of the system graphed in the question. There are two lines graphed. Both are intersecting each other at one point. A solution of a line exists at a point where they are intersecting. If we try to find the point then we need to identify origin first and then according to x and y axis points will be found. The required points will be (-1,-1).

Hence the solution of graphed system is (-1,-1).

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Match the measureable quantity giving by its formula with the appropriate unit(s)

volume =(length)(width)(height)
area = (length)(width)
speed= distance/time
perimeter=2 (length)+2 (width)

cubic centimeters
square meter
meter per second
meter

Answers

Answer:

See explanation

Step-by-step explanation:

Volume is three dimensional so it is measured in cubic units

Volume =(length)(width)(height)  [tex]\to[/tex] cubic centimeters

Area is two dimensional, it is measured in square units.

Area = (length)(width)  [tex]\to[/tex] square meter

Speed is derived from two basic quantities (length and time). It is measured  is meters per seconds.

Speed= distance/time   [tex]\to[/tex]  meter per second

Perimeter is distance around an object. It is measured in meters

Perimeter=2 (length)+2 (width)  [tex]\to[/tex] meter

Matching Quantities with Units

Which expression can be used to determine the reference angle for an angle, x, measuring 150°?

Answers

Answer:

 To find the reference angle measuring x for angle in Quadrant II the formula is:

                  180° - x = 180° - 150° = 30°

             Answer: the reference angle is 30°

The expression we can use to determine the reference angle for an angle, x, measuring 150°  is   180°-X=150°

                               ⇒    X=180°-150°

What is the angle? In geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. angles mean “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex.An angle is formed when two straight lines or rays meet at a common endpoint.

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Which form of payment can you lose and NOT get your money back?
Debit Card
Credit Card
Check
Cash

Answers

Answer:

cash

Step-by-step explanation:

Final answer:

You cannot get your money back once you lose cash since it's not connected to any bank or financial institution, unlike debit cards, credit cards, or checks.

Explanation:

The form of payment that you can lose and not get your money back is cash. When you lose cash, there is no way to trace it or stop it like you can with a check, debit, or credit card. This is because cash is not linked to any banking or financial institution, so no protections are in place to recover lost or stolen cash. On the other hand, if you lose a debit card, credit card, or check, you can immediately inform your bank or card issuer to freeze your account or cancel the check, thereby protecting your money.

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What is the area of the trapezoid below? 30 POINTS!!!

Answers

Answer:

180 units²

Step-by-step explanation:

Let's find the length of the dashed line (which is the length of the trapezoid).  Use the Pythagorean Theorem:

7² + h² = 25², or h² = 625 - 49 = 576.  Thus, h = √576 = 24.

The average width of the trapezoid is:

         (7+4) + 4

w = ---------------- = 15/2

               2

The area of a trapezoid is (average width of trapezoid)(length of trapezoid), and here that comes to:

        15

A = -------- * 24 = 180 units²

          2

Hope this help!!!

Have a nice day!!!

6. Alex wants to buy a shirt that
costs $35.00.
• The store is having a 30%-off
sale.
• The sales tax for clothing is 6%.
How much will Alex pay for the
shirt?

Answers

Answer: 25.97

Explanation:

First you take 100-30=70

Then 70/100= 0.70

Multiply 0.70 by 35 give you 24.5

Than take 6% this time you will just divide by 100 so will be 6/100=0.06 how you are adding have put 1 in front that will result 1.06

Than take 24.5 multiply by 1.06 and get 25.97

Answer:

Hello, thank you for choosing Brainly to ask your question.

First, we have to find out what would 30% of 35 is.

To answer that, just use a common calculator or find out what 10% of it is and keep adding up.

So, 30 percent of 35 is 10.5.

Next, we have to find out what 6% of 24.50 is.

To find out the answer, you have to really use a calculator to find out. It would be way simpler and easier.

So, open your calculator. Then do "24.50 multiplied by 6%"

We are left with 1.47.

Now add 1.47 to 24.50. Your final answer is 25.97.

Have a good day and I hope I helped.:D

lena made $90 for 5hours of work at the rate how many hours would she have to work to make 324$​

Answers

hiii

here is the solution

hope it helps

How much more would $5,656.30 earn in 5 years, compounded monthly at 4.1%, when compared to the interest on $5,656.30 over 5 years, at 4.1% compounded quarterly?

Answers

Answer:

[tex]\$4.81[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

step 1

in this problem we have  

[tex]t=5\ years\\ P=\$5,656.30\\ r=0.041\\n=12[/tex]  

substitute in the formula above  

[tex]A=\$5,656.30(1+\frac{0.041}{12})^{12*5}=\$6,940.82[/tex]  

step 2

in this problem we have  

[tex]t=5\ years\\ P=\$5,656.30\\ r=0.041\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$5,656.30(1+\frac{0.041}{4})^{4*5}=\$6,936.01[/tex]  

step 3

Find the difference

[tex]\$6,940.82-\$6,936.01=\$4.81[/tex]

If someone could help me with this it would be much appreciated as it is gcse practise and I don’t get it

Answers

Answer:

Bryan's answer is wrong because when we calculate the equation, the product will not be 36, since 2³ will be equal to 8, and 3² will be equal to 9, the product of 8 and 9 is 72, twice as much as the result we needed.

The correct equation here should be: 2² × 3² = 36

2² × 3² = 4 × 9 = 36

SHORT ANSWER: 36

HOPE IT HELPS LOVE.

Find x and y. Please write your answer in simplified radical form.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex]

Multiply both sides by y

y × sin30° = 6 ( divide both sides by sin30° )

y = [tex]\frac{6}{sin30}[/tex] = [tex]\frac{6}{\frac{1}{2} }[/tex] = 12

---------------------------------------------------------------------------------------

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex]

Multiply both sides by y ( y = 12 )

12 × cos30° = x

x = 12 × [tex]\frac{\sqrt{3} }{2}[/tex] = 6[tex]\sqrt{3}[/tex]

The line plot shows the weights of packages of meat available at a grocery store. The 3 lightest packages cost $4.40 per pound. The remaining packages cost $4.80 per pound. If a customer buys all available packages, how much does she spend? Choose the numbers to complete the statements.

Answers

Answer:

$42.40

Step-by-step explanation:

The horizontal axis is in fractions.

The three lightest are two  [tex]\frac{5}{8}[/tex] pounds & one  [tex]\frac{6}{8}[/tex] pounds. Each cost $4.40 per pound.

So cost = 4.40(5/8+5/8+6/8) = $8.8

Remaining costs 4.80 per pound. We add up the remaining and multiply by 4.80 to get their cost.

cost = [tex]4.80(1+1\frac{1}{8}+1\frac{1}{8}+1\frac{1}{8}+1\frac{2}{8}+1\frac{3}{8})=33.6[/tex]

Hence, total cost =  8.8 + 33.6 = $42.40

Answer:

40.40 is actually the answer for the last one and the first one is 8.80

then the second one is 33.60 so yw

Step-by-step explanation:

Solve for y
220-y = 29

Answers

Answer:

y = 191

Have a great day :)

Hope this helps !

5INGH

Step-by-step explanation:

220 - y = 29

( - 220 from both sides )

- y = - 191

( × -1 on both sides )

y = 191

Answer:

y= 191

Step-by-step explanation:

This is a one step process:

Subtract 220 from both sides to get y by itself, and you have your answer! (since both sides are negative mulltipy both, to get a positive solution)

Janie has 12 pieces of 8 pieces of fruit are bananas

Answers

Answer:

2/3 of the fruits are bananas. :)

Step-by-step explanation:

HWKAGDAW WJQWIUHYEWLAHC AIUOLHAJLSIA

Answers

Answer:

BVLJFBGEJOOEUUUUUUUUVWRBTOUGNJWWHBH

Step-by-step explanation:

give me a list of factors for 50?

Answers

Answer:

1, 2, 5, 10, 25, 50

Step-by-step explanation:

If the coordinates of the points D,E,F,G, and H are -3,-6,8,11 and 13 respectively which segment is the longest

Answers

Final answer:

To determine the longest segment, we calculate the distances between the given points using the distance formula. The longest segment is DE with a distance of approximately 21.43 meters.

Explanation:

To determine which segment is the longest, we need to find the distance between each pair of points. Using the distance formula, we can calculate the distance between points D and E, points E and F, points F and G, and points G and H. By comparing these distances, we can determine which segment is the longest.



D = sqrt((-3 - 8)^2 + (-6 - 11)^2) = sqrt(169 + 289) = sqrt(458) ≈ 21.43



E = sqrt((8 - 13)^2 + (11 - 13)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39



F = sqrt((13 - 8)^2 + (13 - 11)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39



G = sqrt((8 - -3)^2 + (11 - 13)^2) = sqrt(121 + 4) = sqrt(125) ≈ 11.18



H = sqrt((13 - -3)^2 + (13 - 11)^2) = sqrt(256 + 4) = sqrt(260) ≈ 16.12



The longest segment is DE with a distance of approximately 21.43 meters.

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a number cube is rolled and a coin is tossed what is the probability that a number greater than four is rolled and the coin comes up heads

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

In probability, "AND" means "multiplication" and "OR" means "addition".

Here, we are looking for probability of number greater than 4 "AND" probability of heads

so we find the individual probabilities and "multiply".

There are 6 numbers in a cube and number greater than four are 5 & 6, so 2 numbers. Hence

Probability of number greater than 4 is  2/6 = 1/3

Now,

In coin there is only head and tail, so probability of coming up heads is 1/2

Now we multiply both:

1/3 * 1/2 = 1/6

Hence

probability that a number greater than four is rolled and the coin comes up heads is 1/6

Sorry for all the late night / early morning questions running on three days with little sleep trying to graduate

Answers

Answer:

measure of angle R is 75.897° or 75.90°.

Step-by-step explanation:

To solve use the formula Sin A/ a= Sin B/ b. our angle A is 52°, opposite it is side a so 26. Let angle R be our B so opposite it is b which measure 32.

sin 52°/26 = Sin B/32, cross multiply

32 (sin 52°) = 26 Sin B, multiply both side by 1/26

32 (sin 52°)/26 = Sin B

32 (0.78880107536...)/26 = Sin B

0.969593891... = Sin B

Sin^-1 (0.969593891..) = B

B = 75.89703075 or Angle R is 75.90°

Find the volume of a rectangular prism that is 8 inches high, 12 inches long, and 5 inches wide.
A
360 in.³
B
480 in.³
C
420 in.³
D
240 in.³

Answers

Answer:

B  480 in.³

Step-by-step explanation:

Volume of a rectangular prism is given by

V = l*w*h

V = 8*12*5

V =480 in ^3

Lance's shoe collection is made up of Nike's and Adidas. Altogether , he has 17 pairs of shoes, but he has 3 more Nikes than he has Adidas. How many does he have of each pair?
Write two equations
state your solution

Answers

Answer:

Adidas pairs are 7, nikes are 10

Step-by-step explanation:

10n+7a=shoes total

7x+3=Nikes x=7

a bag of cement mix has a mass of 15.6 kilograms which number sentence will tell how many grams of mass the bag of cement mix has
A 15.6 x 1,000
B15.6 ÷ 100
C15.6 ÷1,000
D15.6 x 100​

Answers

Answer:

Option A. 15.6 x 1,000

Step-by-step explanation:

we have that

A bag of cement mix has a mass of 15.6 kilograms

Remember that

1 kg=1,000 g

Convert Kg to g

15.6 kg=15.6*1,000=15,600 g

What’s the answer!!! Please help ASAP

Answers

Answer: It equals y to the twentieth power.

Step-by-step explanation: when you have a power to a power, like this example, it's essentially saying, y to the power of 4 times y to the power of four times times y to the power of 4 times y to the power of 4 times y to the power of 4, so y to the fourth is being repeated 5 times, so just multiply 5*4 to get 20.

Answer:

y²⁰

Step-by-step explanation:

(y⁵)⁴ is the same as writing y⁵×y⁵×y⁵×y⁵ 4 times. For the exponent, all you have to do is add all the 5's and you'll get y²⁰. I hope this helps:)

I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fill? Do not round your answer.​

Answers

Answer:

[tex]72\pi\ in^{3}[/tex]

Step-by-step explanation:

step 1

Calculate the volume of the cylinder (flower vase)

The volume is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=6/2=3\ in[/tex] -----> the radius is half the diameter

[tex]h=12\ in[/tex]

substitute the values

[tex]V=\pi (3)^{2}(12)=108\pi\ in^{3}[/tex] ------> exact value

step 2

Calculate  2/3 of the volume

[tex]V=(2/3)108\pi=72\pi\ in^{3}[/tex]

What is the difference between a sequence and a series? What is the difference between a geometric and an arithmetic sequence?

Answers

Answer:

Sequence: ordered list of numbers

Series: sum of the terms of a sequence

Arithmetic sequence: the difference between the terms is constant

Geometric Sequence: the ratio between the terms is constant

Step-by-step explanation:

The difference between a series and a sequence is that a sequence is a list of numbers that follow a pattern or rule.

For example

1, 3, 5, 7, 9...

[tex]a_n = 1 +2(n-1)[/tex]

On the other hand, a series is the sum of the terms of a sequence.

1 + 3 + 5 + 7 + 9 + ...+ n

[tex]\sum_{n=1}1 +2 (n-1)[/tex]

----------------------------------------------------------------------------------

The difference between an arithmetic sequence and a geometric sequence is that:

for the arithmetic sequences the subtraction of:

[tex]a_n - a_{n-1} = d[/tex]

Where d is a constant  called difference..

In the Arithmetic sequence the difference between the terms is constant

For the geometric sequences, it is satisfied that the quotient between two consecutive terms is:

[tex]\frac{a_{n-1}}{a_n} = r[/tex]

Where r is a constant value called common ratio

In geometric Sequence the ratio between the terms is constant

Final answer:

A sequence is an ordered list of numbers, while a series is the sum of the terms of a sequence. An arithmetic sequence has a constant difference between terms, while a geometric sequence has a constant ratio.

Explanation:

Difference Between Sequence and Series

A sequence is an ordered list of numbers following a specific pattern, while a series is the sum of the terms of a sequence. For example, in the sequence 2, 4, 6, 8, ..., each term is 2 more than the previous term. However, when these terms are added together, for instance, 2 + 4 + 6 + 8, we get a series.

Difference Between Geometric and Arithmetic Sequences

An arithmetic sequence is characterized by a constant difference between consecutive terms. For example, the sequence 3, 7, 11, 15, ... has a common difference of 4. On the other hand, a geometric sequence has a common ratio between consecutive terms, such as the sequence 2, 6, 18, 54, ... where each term is 3 times the previous term.

A sample of a population of 100 students is collected. Five students playing dodge ball at recess are asked if they prefer playing outdoors or indoors. Which of the following is not true of the sample?

The sample is not large enough.
The question is biased.
The sample is not random.
The students are not part of the population.

Answers

Answer:

D. The students are not part of the population

Step-by-step explanation:

The first three options are true of this sample. D is the only option that is not true.

Answer:

The students are not part of the population.

Step-by-step explanation:

Don’t understand this question pllsss helppp

Answers

Answer:

A. -50

Step-by-step explanation:

The question is asking you to find the Y point as they gave you the X.

(0,-50). -50 on the y-axis explains the x of 0. If you though it was 14 or -6, it is not because they have the x of -6 and the y of 0.

Answer:

C. 14

Step-by-step explanation:

The given graph represents a polynomial function r(x).

We want to find an x-value that satisfies

r(x)=0.

The solution to the function whose graph is shown are the x-intercepts of the graph.

We can read from the graph that, the x-intercepts are;

[tex]-6[/tex] and [tex]14[/tex].

Hence the solutions are x=-6 and x=14.

From the given options a solution to r(x) is 14.

The correct choice is C

A spherical boulder is 14 ft in diameter and weighs almost 6 tons. Find the volume. Use 3.14 for pi.

Answers

To find volume, we will use the following equation: V=4/3piR^3

The correct answer should be 1436.76

The volume of the spherical boulder will be 1,436.027 cubic feet.

What is the volume of the sphere?

Let r be the radius of the sphere. Then the volume of the sphere will be given as,

V = 4/3 πr³ cubic units

A spherical boulder is 14 ft in diameter. Then the radius is calculated as,

r = d / 2

r = 14 / 2

r = 7 feet

Then the volume of the spherical boulder is calculated as,

V = 4/3 πr³

V = 4/3 x 3.14 x 7³

V = 1,436.027 cubic feet

The volume of the spherical boulder will be 1,436.027 cubic feet.

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Help i'm not good at finding other measurements!!
A triangle has an area of 221.16 square inches. The height of the triangle is 29.1 inches. What is the length of the triangle?

Answers

Answer:

15.2

Step-by-step explanation:

Need help please brainliest and 50 points

Answers

The slope is 2/-2, so -1. The y-intercept is 2. So, y=-x+2

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